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Finding the Fourth Proportional to 299,150.64, 412,835.65 and 163,186.88

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Solution

The fourth proportional to 299,150.64, 412,835.65 and 163,186.88 is: 225,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,150.64 : 412,835.65 = 163,186.88 : x
  2. Step 2: Convert to fraction form
    299,150.64/412,835.65 = 163,186.88/x
  3. Step 3: Cross multiply
    299,150.64x = 412,835.65 × 163,186.88
  4. Step 4: Simplify right side
    299,150.64x = 67,369,359,204.13
  5. Step 5: Solve for x
    x = 67,369,359,204.13/299,150.64
  6. Step 6: Final answer
    x = 225,202.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.